It isn't SO popular atm I supose. Older people have no clue what bitcoin is. I do think it would stay as "popular" as you think it is now though. I really can't give any reasons for this but it's just a feeling :-)
For me, Yes. Bitcoin will still be popular even if it has stable price. Well, even if the price is stable it will still be high. Bitcoin wil always be popular no matter what.
Bitcoin already built a solid reputation in the world and there is already a lot of people who are using bitcoin and they are now interested and they are all trying hard to collect bitcoin as much as they can and that will become the foundation for bitcoin to not lose its popularity even there is a lot of problems. So i think i agree to no matter what happen bitcoin will still be popular.
Even tho bitcoin is very popular now, it will still get more and more popular as time goes by. We have to realize that at this time a lot of people are still not aware of the existence of bitcoin. Just imagine the demand that will be created as more people found out about it.